Explore >> Select a destination
|
You are here 
|
mattbaker.blog | ||
| | | | |
stephenmalina.com
|
|
| | | | | Intro # I've recently been making my way through Axler's Linear Algebra Done Right and, as a way to motivate myself to continue, have decided to blog my notes and solutions for exercises as I go. Insights # Section 2.A # You can convert any linearly dependent list to a linearly independent list with the same span. # By the linear dependence lemma, if you have a list that's linearly dependenty, then you can remove one item without changing the list's span. | |
| | | | |
stephenmalina.com
|
|
| | | | | Selected Exercises # 5.A # 12. Define $ T \in \mathcal L(\mathcal P_4(\mathbf{R})) $ by $$ (Tp)(x) = xp'(x) $$ for all $ x \in \mathbf{R} $. Find all eigenvalues and eigenvectors of $ T $. Observe that, if $ p = a_0 + a_1 x + a_2 x^2 + a_3 x^3 + a_4 x^4 $, then $$ x p'(x) = a_1 x + 2 a_2 x^2 + 3 a_3 x^3 + 4 a_4 x^4. | |
| | | | |
alanrendall.wordpress.com
|
|
| | | | | In a previous post I discussed the Brouwer fixed point theorem and I mentioned the fact that it applies to any non-empty closed bounded convex subset of a Euclidean space, since a subset of this kind is homeomorphic to a closed ball in a Euclidean space. However I did not prove the latter statement. I... | |
| | | | |
andrewpwheeler.com
|
|
| | | Over on Crime De-Coder, I have up a pre-release of my book, Data Science for Crime Analysis with Python. I have gotten asked by so many people "where to learn python" over the past year I decided to write a book. Go check out my preface on why I am not happy with current resources... | ||
